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Number of compositions of n with difference -5 between the number of odd parts and the number of even parts, both counted without multiplicity.
2

%I #8 May 24 2014 18:54:43

%S 120,0,480,0,1800,0,5580,0,16224,0,43884,0,111828,5040,295752,90720,

%T 918144,836640,3717552,5937840,18033888,36198000,92552004,199157040,

%U 468066444,1018608720,2283162630,4928557200,10715965290,22825049040,48562957800,102021279960

%N Number of compositions of n with difference -5 between the number of odd parts and the number of even parts, both counted without multiplicity.

%C First odd term is a(114) = 348277353263626685406276711.

%H Alois P. Heinz, <a href="/A242836/b242836.txt">Table of n, a(n) for n = 30..500</a>

%e a(30) = 120 = 5!: all permutations of {2,4,6,8,10}.

%Y Column k=-5 of A242626.

%K nonn

%O 30,1

%A _Alois P. Heinz_, May 23 2014